The History of The 
      Principle of Self-Complementarity. 
      
      From the backgrounds of the origination and the discovery 
      to the extensions of the principle. 
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      | (Minus number shows background). | 
    
    
      | $B!]#4(B | 
      $B#1#9#4#1(B | 
      
      
        
          
            | New expressions of the electromagnetic fields where both the electric and the magnetic quantities are treated on an equal basis. | 
           
          
             | 
            J. A. Stratton (U.
  S. A.) | 
           
        
       
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      | $B!]#3(B | 
      $B#1#9#4#5(B | 
      
      
        
          
            | A relationship between two radiation impedances for a narrow slot antenna and a complementary
wire antenna derived from a classical
antenna theory. | 
           
          
            | Z1Z2$B"b(B(Z0/2)2 | 
            T.
Matsumoto (Hokkaido Univ.) 
            M. Ito (Hiroshima Tech. Coll.) 
            (1946)
H. G. Booker (U. K.) | 
           
        
       
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      | $B!]#2(B | 
      $B#1#9#4#5(B | 
      
      
        
          
            | Babinet's Principle in electromagnetic fields. | 
           
          
            | M. Kotani (Univ. of Tokyo), G. Sunouchi (Tohoku Univ.) | 
           
        
       
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      | $B!]#1(B | 
      $B#1#9#4#7(B | 
      
      
        
          
            | A general relationship between two input impedances for an arbitrarily shaped slot
antenna and a complementary planar sheet antenna. | 
           
          
            | Z1Z2 =(Z0/2)2 | 
            Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | 0 | 
      $B#1#9#4#8(B | 
      
      
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      | $B#1(B | 
      $B#1#9#4#8(B | 
      
      
        
          
            | 
             Rotationally symmetric two-terminal self-complementary
planar antenna. 
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            | Balanced type, 60$B&P(B$B"b(B188.4 [$B&8(B]. | 
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            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#2(B | 
      $B#1#9#4#8(B | 
      
      
        
          
            | 
             Axially symmetric two-terminal self-complementary planar antenna. 
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            | Unbalanced type, 60$B&P(B$B"b(B188.4 [$B&8(B]. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#3(B | 
      $B#1#9#5#9(B | 
      
      
        
          
            | 
             Rotationally
symmetric four-terminal self-complementary planar antenna (turnstile type) 
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            Star-connection type, 30 $B&P(B$B"b(B 133.2 [$B&8(B] each. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#4(B | 
      $B#1#9#5#9(B | 
      
      
        
          
            | 
             Rotationally
symmetric multi-terminal self-complementary planar antennas. 
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            | 
             Star-,
ring-, and other connections for various values of input impedances. 
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            | G. A. Deschamps (U. S. A.) | 
           
        
       
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      | $B#5(B | 
      $B#1#9#6#3(B | 
      
      
        
          
            | 
             Three-dimensional multi(N)-planar axially symmetric two-terminal self-complementary
antenna. 
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            | Unbalanced type, 60$B&P(B/ N $B"b(B 94.2 [$B&8(B], for N=2. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#6(B | 
      $B#1#9#7#2(B | 
      
      
        
          
            | 
             Checkerboard type multi-terminal
self-complementary planar antenna.* 
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            | Balanced type, 60$B&P(B$B"b(B 188.4  [$B&8(B] each.. | 
           
          
            | N. Inagaki (Nagoya Tech. Univ.) | 
           
        
       
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      | $B#7(B | 
      $B#1#9#7#8(B | 
      
      
        
          
            | 
             Modified
three-dimensional self-complementary antenna.* * 
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            Unbalanced type, 30 $B&P(B$B"b(B 133.2 [$B&8(B]. | 
           
          
            | T. Kasahara, T. Ishizone, Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#8(B | 
      $B#1#9#8#1(B | 
      
      
        
          
            | 
             Modified
three-dimensional self-complementary transmission line. 
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            Unbalanced type, 30 $B&P(B$B"b(B 133.2 [$B&8(B]. | 
           
          
            | T. Ishizone (Tohoku Univ.) | 
           
        
       
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      | $B#9(B | 
      $B#1#9#8#2(B | 
      
      
        
          
            | Co-planar stacked self-complementary antenna. | 
           
          
            | Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#1#0(B | 
      $B#1#9#8#2(B | 
      
      
        
          
            | Side-by-side stacked self-complementary antenna. | 
           
          
            | Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#1#1(B | 
      $B#1#9#8#2(B | 
      
      
        
          
            | Compound-stacked self-complementary antenna. | 
           
          
            | Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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      | $B#1#2(B | 
      $B#1#9#9#4(B | 
      
      
        
          
            | 
             Axially
symmetric self-complementary antenna with loaded multi-element. 
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            | Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each. | 
           
          
            | Y. Mushiake (Tohoku Univ.) | 
           
        
       
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       * Freedom in the shape
is restricted to similitude-transformation. 
      * * Theoretical proof for general cases has not been
succeeded, except for the monopoly-slot type array antenna. 
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